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128030040 = 23325715009
BaseRepresentation
bin1111010000110…
…01010101011000
322220220121012100
413220121111120
5230233430130
620412043400
73113144265
oct750312530
9286817170
10128030040
11662a6956
1236a63560
13206a8c28
141300a26c
15b38ec60
hex7a19558

128030040 has 96 divisors (see below), whose sum is σ = 422042400. Its totient is φ = 33653760.

The previous prime is 128029991. The next prime is 128030051. The reversal of 128030040 is 40030821.

It is a happy number.

It is a super-2 number, since 2×1280300402 = 32783382284803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 128029995 and 128030022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23056 + ... + 28064.

It is an arithmetic number, because the mean of its divisors is an integer number (4396275).

Almost surely, 2128030040 is an apocalyptic number.

128030040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211021200).

128030040 is an abundant number, since it is smaller than the sum of its proper divisors (294012360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128030040 is a wasteful number, since it uses less digits than its factorization.

128030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 128030040 is about 11315.0360140832. The cubic root of 128030040 is about 504.0078419037.

Adding to 128030040 its reverse (40030821), we get a palindrome (168060861).

The spelling of 128030040 in words is "one hundred twenty-eight million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5009 5112 6390 8520 10018 12780 15027 20036 25045 25560 30054 40072 45081 50090 60108 75135 90162 100180 120216 150270 180324 200360 225405 300540 355639 360648 450810 601080 711278 901620 1066917 1422556 1778195 1803240 2133834 2845112 3200751 3556390 4267668 5334585 6401502 7112780 8535336 10669170 12803004 14225560 16003755 21338340 25606008 32007510 42676680 64015020 128030040